Question

4 less than half a number is equal to 2 more than the number

Answer 1

`-12`

Explanation:

Let that number be
`x`. We can build an equation, and solve for
`x`.

`4` less than half of
`x` is
`x/2-4`.

`2` more than
`x` is
`x+2`.

We are given that the two quantities are equal, so we have that
`x/2-4=x+2`.

Adding
`4` to both sides gives
`x/2=x+6`.

Multiplying both sides by
`2` gives
`x=2(x+6)=2x+12`.

Subtracting
`2x` from both sides gives
`-x=12`.

Multiplying both sides by
`-1` gives
`x=-12`.

So, the number is
`\boxed{-12}` and we're done!

The check is left as an exercise to the reader.